Solve 7164div25

$$7164 \div 25$$

Evaluate

$$\frac{7164}{25}=286.56$$

Steps For Long Division Method

Use the 1^{st} digit 7 from dividend 7164

$$\begin{array}{l}\phantom{25)}\phantom{1}\\25\overline{)7164}\\\end{array}$$

Since 7 is less than 25, use the next digit 1 from dividend 7164 and add 0 to the quotient

$$\begin{array}{l}\phantom{25)}0\phantom{2}\\25\overline{)7164}\\\end{array}$$

Use the 2^{nd} digit 1 from dividend 7164

$$\begin{array}{l}\phantom{25)}0\phantom{3}\\25\overline{)7164}\\\end{array}$$

Find closest multiple of 25 to 71. We see that 2 \times 25 = 50 is the nearest. Now subtract 50 from 71 to get reminder 21. Add 2 to quotient.

$$\begin{array}{l}\phantom{25)}02\phantom{4}\\25\overline{)7164}\\\phantom{25)}\underline{\phantom{}50\phantom{99}}\\\phantom{25)}21\\\end{array}$$

Use the 3^{rd} digit 6 from dividend 7164

$$\begin{array}{l}\phantom{25)}02\phantom{5}\\25\overline{)7164}\\\phantom{25)}\underline{\phantom{}50\phantom{99}}\\\phantom{25)}216\\\end{array}$$

Find closest multiple of 25 to 216. We see that 8 \times 25 = 200 is the nearest. Now subtract 200 from 216 to get reminder 16. Add 8 to quotient.

$$\begin{array}{l}\phantom{25)}028\phantom{6}\\25\overline{)7164}\\\phantom{25)}\underline{\phantom{}50\phantom{99}}\\\phantom{25)}216\\\phantom{25)}\underline{\phantom{}200\phantom{9}}\\\phantom{25)9}16\\\end{array}$$

Use the 4^{th} digit 4 from dividend 7164

$$\begin{array}{l}\phantom{25)}028\phantom{7}\\25\overline{)7164}\\\phantom{25)}\underline{\phantom{}50\phantom{99}}\\\phantom{25)}216\\\phantom{25)}\underline{\phantom{}200\phantom{9}}\\\phantom{25)9}164\\\end{array}$$

Find closest multiple of 25 to 164. We see that 6 \times 25 = 150 is the nearest. Now subtract 150 from 164 to get reminder 14. Add 6 to quotient.

$$\begin{array}{l}\phantom{25)}0286\phantom{8}\\25\overline{)7164}\\\phantom{25)}\underline{\phantom{}50\phantom{99}}\\\phantom{25)}216\\\phantom{25)}\underline{\phantom{}200\phantom{9}}\\\phantom{25)9}164\\\phantom{25)}\underline{\phantom{9}150\phantom{}}\\\phantom{25)99}14\\\end{array}$$

Since 14 is less than 25, stop the division. The reminder is 14. The topmost line 0286 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 286.

$$\text{Quotient: }286 \text{Reminder: }14$$

Factor

$$\frac{2 ^ {2} \cdot 3 ^ {2} \cdot 199}{5 ^ {2}} = 286\frac{14}{25} = 286.56$$